Built on

A. Vilenkin, “Parity Nonconservation and Rotating Black Holes,” Phys. Rev. Lett. 41
1978
Earlier work this paper cites.
A. Vilenkin, “Equilibrium Parity Violating Current In A Magnetic Field,” Phys. Rev. D 22
1980
Earlier work this paper cites.
A. Y. Alekseev, V. V. Cheianov, and J. Fröhlich, “Universality of Transport Properties in Equilibrium, the Goldstone Theorem, and Chiral Anomaly,” Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
M. Giovannini and M. E. Shaposhnikov, “Primordial hypermagnetic fields and triangle anomaly,” Phys. Rev. D 57
1998
Earlier work this paper cites.
G. E. Volovik and A. Vilenkin, “Macroscopic parity violating effects and He-3-A,” Phys. Rev. D 62
2000
Earlier work this paper cites.
E. Ardonne, P. Fendley and E. Fradkin, “Topological order and conformal quantum critical points,” Annals Phys. 310
2004
Earlier work this paper cites.
G. M. Newman, JHEP 0601
2006
Earlier work this paper cites.
S. Kachru, X. Liu and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
K. Fukushima, D. E. Kharzeev and H. J. Warringa, “The Chiral Magnetic Effect,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.

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Then

K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz and A. Yarom, “Parity-Violating Hydrodynamics in 2+1 Dimensions,” JHEP 1205
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2015

Parity Breaking Transport in Lifshitz Hydrodynamics

Hoyos, Carlos, Meyer, Adiel, Oz, Yaron

Understand

We derive the constitutive relations of first order charged hydrodynamics for theories with Lifshitz scaling and broken parity in $2+1$ and $3+1$ spacetime dimensions.

In addition to the anomalous (in $3+1$) or Hall (in $2+1$) transport of relativistic hydrodynamics, there is an additional non-dissipative transport allowed by the absence of boost invariance.
We analyze the non-relativistic limit and use a phenomenological model of a strange metal to argue that these effects can be measured in principle by using electromagnetic fields with non-zero gradients.

Built on

A. Vilenkin, “Parity Nonconservation and Rotating Black Holes,” Phys. Rev. Lett. 41
1978
Earlier work this paper cites.
A. Vilenkin, “Equilibrium Parity Violating Current In A Magnetic Field,” Phys. Rev. D 22
1980
Earlier work this paper cites.
A. Y. Alekseev, V. V. Cheianov, and J. Fröhlich, “Universality of Transport Properties in Equilibrium, the Goldstone Theorem, and Chiral Anomaly,” Phys. Rev. Lett. 81
1998
Earlier work this paper cites.
M. Giovannini and M. E. Shaposhnikov, “Primordial hypermagnetic fields and triangle anomaly,” Phys. Rev. D 57
1998
Earlier work this paper cites.
G. E. Volovik and A. Vilenkin, “Macroscopic parity violating effects and He-3-A,” Phys. Rev. D 62
2000
Earlier work this paper cites.
E. Ardonne, P. Fendley and E. Fradkin, “Topological order and conformal quantum critical points,” Annals Phys. 310
2004
Earlier work this paper cites.
G. M. Newman, JHEP 0601
2006
Earlier work this paper cites.
S. Kachru, X. Liu and M. Mulligan, “Gravity duals of Lifshitz-like fixed points,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
K. Fukushima, D. E. Kharzeev and H. J. Warringa, “The Chiral Magnetic Effect,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.